10506106105 has 32 divisors (see below), whose sum is σ = 14071034880. Its totient is φ = 7465936320.

The previous prime is 10506106103. The next prime is 10506106133. The reversal of 10506106105 is 50160160501.

It is not a de Polignac number, because 10506106105 - 2¹ = 10506106103 is a prime.

It is a super-2 number, since 2×10506106105² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10506106105.

It is not an unprimeable number, because it can be changed into a prime (10506106103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532222 + ... + 551608.

It is an arithmetic number, because the mean of its divisors is an integer number (439719840).

Almost surely, 2^10506106105 is an apocalyptic number.

It is an amenable number.

10506106105 is a deficient number, since it is larger than the sum of its proper divisors (3564928775).

10506106105 is a wasteful number, since it uses less digits than its factorization.

10506106105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19629.

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 10506106105 its reverse (50160160501), we get a palindrome (60666266606).

It can be divided in two parts, 10506 and 106105, that added together give a palindrome (116611).

The spelling of 10506106105 in words is "ten billion, five hundred six million, one hundred six thousand, one hundred five".